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4 years ago

What is the value of the function when x=-2.) Please I need them right it would mean a lot

Mathematics

1 answer:

Tpy6a [65]4 years ago

8 0

y = -1x - 1

The equation above represents the equation of the line

-1 is the slope and -1 is the y-intercept

Now we plug

y = -1 (-2) -1

y = 2 - 1

y = 1

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The following boxplot shows the typical gas mileage, in miles per gallon, for 20 different car models.

PtichkaEL [24]

Answer:

Step-by-step explanation:

i think it should be e cos if u add everything and divide by 2 it's 30

6 0

3 years ago

Simplify:<br> 2(5 + w) + 3(w + 2)

AlekseyPX

Answer:

16+5w

Step-by-step explanation:

2(5 + w) + 3(w + 2)

5+w evaluates to 5+w

Multiply 2 by 5+w

we multiply 2 by each term in 5+w term by term.

This is the distributive property of multiplication.

Multiply 2 and 5

2 × 5 = 10

Multiply 2 and w

Multiply 1 and w

The w just gets copied along.

2 × w = 2w

2*(5+w) evaluates to 10+2w

w+2 evaluates to w+2

Multiply 3 by w+2

we multiply 3 by each term in w+2 term by term.

This is the distributive property of multiplication.

Multiply 3 and w

Multiply 1 and w

The w just gets copied along.

3 × w = 3w

Multiply 3 and 2

3 × 2 = 6

3*(w+2) evaluates to 3w+6

To add the polynomials 10+2w and 3w+6 we try to add or combine terms in one polynomialwith any like terms in the other polynomial.

10 + 6 = 16

2w + 3w = 5w

The answer is 16+5w

2*(5+w)+3*(w+2) evaluates to 16+5w

The final answer is

16+5w

7 0

4 years ago

Read 2 more answers

Brainliest if correct

Lera25 [3.4K]

Answer:

2x -12

Step-by-step explanation:

Multiply -3 times x and -3 times 4 to get -3x and -12. Then combine 5x -3x to get 2x - 12

5 0

3 years ago

Read 2 more answers

An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers t

olchik [2.2K]

Answer:

a) 0.0282 = 2.82% probability that all of the sprinklers will operate correctly in a fire

b) 0.6496 = 64.96% probability that at least 7 of the sprinklers will operate correctly in a fire.

Step-by-step explanation:

For each sprinkler, there are only two possible outcomes. Either they will operate correctly, or they will not. The sprinklers activate correctly or not independently, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The researchers estimate the probability of a sprinkler to activate correctly to be 0.7.

This means that $p = 0.7$

10 sprinklers.

This means that $n = 10$

a. What is the probability that all of the sprinklers will operate correctly in a fire?

This is $P(X = 10)$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{10,10}.(0.7)^{10}.(0.3)^{0} = 0.0282$

0.0282 = 2.82% probability that all of the sprinklers will operate correctly in a fire.

b. What is the probability that at least 7 of the sprinklers will operate correctly in a fire?

This is:

$P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 7) = C_{10,7}.(0.7)^{7}.(0.3)^{3} = 0.2668$

$P(X = 8) = C_{10,8}.(0.7)^{8}.(0.3)^{2} = 0.2335$

$P(X = 9) = C_{10,9}.(0.7)^{9}.(0.3)^{1}= 0.1211$

$P(X = 10) = C_{10,10}.(0.7)^{10}.(0.3)^{0} = 0.0282$

Then

$P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.2668 + 0.2335 + 0.1211 + 0.0282 = 0.6496$

0.6496 = 64.96% probability that at least 7 of the sprinklers will operate correctly in a fire.

7 0

4 years ago

What is equivalent to 24/40

r-ruslan [8.4K]

$\frac{24}{40}=\frac{24:4}{40:4}=\boxed{\frac{6}{10}}=\frac{6:2}{10:2}=\boxed{\frac{3}{5}}\\\\\frac{3}{5}=\frac{3\cdot5}{5\cdot5}=\boxed{\frac{15}{25}}\\\\\frac{3}{5}=\frac{3\cdot10}{5\cdot10}=\boxed{\frac{30}{50}}\\\vdots$

5 0

3 years ago